Search a number
-
+
1008264 = 23343977
BaseRepresentation
bin11110110001010001000
31220020002010
43312022020
5224231024
633335520
711366355
oct3661210
91806063
101008264
11629584
124075a0
13293c0a
141c362c
1514db29
hexf6288

1008264 has 32 divisors (see below), whose sum is σ = 2581920. Its totient is φ = 327936.

The previous prime is 1008263. The next prime is 1008317. The reversal of 1008264 is 4628001.

It is a self number, because there is not a number n which added to its sum of digits gives 1008264.

It is not an unprimeable number, because it can be changed into a prime (1008263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 544 + ... + 1520.

It is an arithmetic number, because the mean of its divisors is an integer number (80685).

21008264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290960).

1008264 is an abundant number, since it is smaller than the sum of its proper divisors (1573656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1008264 is a wasteful number, since it uses less digits than its factorization.

1008264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1008264 is about 1004.1234983806. The cubic root of 1008264 is about 100.2747113126.

It can be divided in two parts, 100826 and 4, that multiplied together give a palindrome (403304).

The spelling of 1008264 in words is "one million, eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 977 1032 1954 2931 3908 5862 7816 11724 23448 42011 84022 126033 168044 252066 336088 504132 1008264